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chern(ZZ,ZZ,AbstractSheaf) -- compute several Chern classes of an abstract sheaf

Description

In the following example, we consider two vector bundles A and B of ranks 2 and 3 on a variety of dimension 4.

i1 : base(4,Bundle => (A,2,a), Bundle => (B,3,b))

o1 = a variety

o1 : an abstract variety of dimension 4
 
i2 : netList chern(2,4,B-A)

     +-----------------------------------------------------+
     | 2                                                   |
o2 = |a  - a  - a b  + b                                   |
     | 1    2    1 1    2                                  |
     +-----------------------------------------------------+
     |   3            2                                    |
     |- a  + 2a a  + a b  - a b  - a b  + b                |
     |   1     1 2    1 1    2 1    1 2    3               |
     +-----------------------------------------------------+
     | 4     2      2    3                2                |
     |a  - 3a a  + a  - a b  + 2a a b  + a b  - a b  - a b |
     | 1     1 2    2    1 1     1 2 1    1 2    2 2    1 3|
     +-----------------------------------------------------+

See also

Ways to use this method:

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Schubert2.m2:1857:0.